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Finding the Fourth Proportional to 421,160.24, 631,704.87 and 181,264.45

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Solution

The fourth proportional to 421,160.24, 631,704.87 and 181,264.45 is: 271,881.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,160.24 : 631,704.87 = 181,264.45 : x
  2. Step 2: Convert to fraction form
    421,160.24/631,704.87 = 181,264.45/x
  3. Step 3: Cross multiply
    421,160.24x = 631,704.87 × 181,264.45
  4. Step 4: Simplify right side
    421,160.24x = 114,505,638,631.85
  5. Step 5: Solve for x
    x = 114,505,638,631.85/421,160.24
  6. Step 6: Final answer
    x = 271,881.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.